90577977 has 16 divisors (see below), whose sum is σ = 140961792. Its totient is φ = 50657040.

The previous prime is 90577957. The next prime is 90577987. The reversal of 90577977 is 77977509.

It is a happy number.

It is not a de Polignac number, because 90577977 - 2⁶ = 90577913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90577937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44899 + ... + 46872.

It is an arithmetic number, because the mean of its divisors is an integer number (8810112).

Almost surely, 2^90577977 is an apocalyptic number.

It is an amenable number.

90577977 is a deficient number, since it is larger than the sum of its proper divisors (50383815).

90577977 is a wasteful number, since it uses less digits than its factorization.

90577977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91828.

The product of its (nonzero) digits is 972405, while the sum is 51.

The square root of 90577977 is about 9517.2462929148. The cubic root of 90577977 is about 449.0977427862.

The spelling of 90577977 in words is "ninety million, five hundred seventy-seven thousand, nine hundred seventy-seven".